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Problemy Peredachi Informatsii, 1997, Volume 33, Issue 3, Pages 22–28
(Mi ppi375)
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This article is cited in 72 scientific papers (total in 72 papers)
Information Theory and Coding Theory
A Metric for Codes over Residue Class Rings
I. Constantinescu, W. Heise
Abstract:
The Lee weight function Ли $w:\mathbb Z_4\mapsto\mathbb N_0$, $0\mapsto 0$, 1, $3\mapsto 1$, $2\mapsto 2$, used by Calderbank et al. ( IEEE Trans. Inf. Theory, IT-40, No. 2, 301–319 (1994)) for the representation of some nonlinear binary codes as linear codes over $\mathbb Z_4$ is generalized to the residue class ring $\mathbb Z_m$ of integers with an arbitrary modulus $m$. This generalized weight is a unique function having certain homogeneity properties, which are desirable for coding-theoretic purposes.
Received: 06.09.1996
Citation:
I. Constantinescu, W. Heise, “A Metric for Codes over Residue Class Rings”, Probl. Peredachi Inf., 33:3 (1997), 22–28; Problems Inform. Transmission, 33:3 (1997), 208–213
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